Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

Answer:

18.66

Step-by-step explanation:

Using the pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 13^2 = 16^2

a^2 + 169 = 256

a^2 = 87

a = 9.33

Since we need to figure out length AC and not just AB, we can multiply our answer by 2:

9.33 x 2 = 18.66

Answer:

  71.32°

Step-by-step explanation:

The measure of angle ADB can be found using the trig relation ...

  Cos = Adjacent/Hypotenuse

__

  cos(ADB) = DB/AD = 13/16

Using the inverse function, ...

  ∠ADB = arccos(13/16) ≈ 35.659°

Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.

  Arc AC = 2×35.659° = 71.318° ≈ 71.32°

The measure of arc AC is about 71.32°.

_____

Additional comment

The length of arc AC is the product of the radius and its radian measure:

  length AC = (16)(71.32π/180) ≈ 19.92 . . . units

A percentage is a way to describe a part of a whole. The amount Emily shared is $30.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Emily works at a local restaurant. She made $200 in tips last night. She shared 15% of her tips with the crew that cleans the tables. The amount Emily shared is,

15% of $200

= 0.15 × $200

= $30

The amount Emily shared is $30.

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The length and width of this rectangle are 15 cm respectively

The perimeter is given as:

Perimeter, P = 60

The greatest area is calculated as:

Greatest = (P/4)^2

Substitute 60 for P

Greatest = (60/4)^2

Evaluate the quotient

Greatest = 15^2

Evaluate the exponent

Greatest = 225 square centimeters

Hence, the greatest area is 225 square centimeters

We understand that the area is the greatest.

In such a scenario;

Length = Width

This means that:

Area =Length^2 =Width^2

So, we have:

Length^2 =Width^2 = 225

Take the square root

Length =Width = 15

Hence, the length and width of this rectangle are 15 cm respectively

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Answer:

The answer will be 9/25.

Please mark me as the brainliest.

Answer:

3 is the smallest prime factor.

Step-by-step explanation:

ionk how to explain it but trust me its right.

Answer:

7

Step-by-step explanation:

OK, so we're looking for the index in the fourth column and the fourth row

which is gonna be 7 if you count correctly

Answer:

3xy-2x

Step-by-step explanation:

Distribute x to both 3y and -2: 3y*x-2*x.

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

Answer:

A wave period is the measure of the time it takes for the wave cycle to complete.

The period of the wave is 2 seconds.

Answer:

4th option

Step-by-step explanation:

the solution is at the point of intersection of the 2 lines, that is

(- 2, 4 ) where x = - 2 , then

f(- 2) = g(- 2)

Answer: D. or f(–2) = g(–2)

Step-by-step explanation:
In the given graph, the two lines intersects at x = -2

And intersection point is that point, where the y values of the two graphs are equal.

That is: f(x) = g(x)

And at x=-2, the y values are equal. So:

f(-2) = g(-2)

The surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given a triangular prism with its net.

After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.

The surface area of the triangular prism:

[tex]= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14[/tex]

After solving:

The surface area = 480 square inches.

Thus, the surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

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The product of the two functions is:

[tex](f \times g)(x) = 10x[/tex]

So the correct option is A.

Remember that the square root has the property.

[tex]\sqrt{a}*\sqrt{b} = \sqrt{a*b}[/tex]

Here we have:

[tex]f(x) = \sqrt{2x} \\\\g(x) = \sqrt{50x}[/tex]

Then the product is:

[tex](f \times g)(x) = 10x = f(x)*g(x) = \sqrt{2x}*\sqrt{50x} = \sqrt{(2x)*(50x)} \\\\(f \times g)(x) = 10x = \sqrt{100x^2} = \sqrt{100}*\sqrt{x^2} = 10*x[/tex]

the correct option is A.

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Answer:

0.86 ppg

Step-by-step explanation:

25% of 1.15 = 0.25 × 1.15 = 0.2875

1.15 - 0.2875 = 0.8625

[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]

Answer:

1.00 + [(n - 1) × 0.20]

or

0.80 + [n × 0.20]

Step-by-step explanation:

week 1: 1.00

week 2: 1.20

week 3: 1.40

we could rewrite this as:

week 1:  1.00 + [0 × 0.20]

week 2: 1.00 + [1 × 0.20]

week 3: 1.00 + [2 × 0.20]

we can write this overall as:

week __ : 1.00 + [x × 0.20]

> x being the amount of weeks that have passed since week 1

but, we need to express this as in terms of nth, so, we need to figure out how the week is related to the x value

each week, we subtract 1 from the week number [to account for week 1]

so, we can write this as: 1.00 + [(n - 1) × 0.20]

or, we can backtrack from the first week, and start our counting at 0.80:

0.80 + [n × 0.20]

we can test this out:

(week 1)

1.00 + [(n - 1) × 0.20]

1.00 + [(1 - 1) × 0.20]

1.00 + [0 × 0.20]

1.00

or...

(week 1)

0.80 + [n × 0.20]

0.80 + [1 × 0.20]

0.80 + 0.20

= 1.00

So, nth week should be expressed as either:

1.00 + [(n - 1) × 0.20] or

0.80 + [n × 0.20]

(the second one is a little bit more simplified, but it depends on how you're supposed to write it)

hope this helps!!

Answer:

1/2

Step-by-step explanation:

(Is this the question? In the pic above)

Sin of an angle os the side opposite over it divided by the hypotenuse.

Sin = opposite/hypotenuse

Sin = 5/10

Sin = 1/2

Answer:

24 ft.

Step-by-step explanation:

Radius = 4 ft

Central angle = 6°

Arc length = radius × central angle

= 4 × 6°

= 24 ft.

Answer:

[tex](x+5)(x+2)[/tex]

Step-by-step explanation:

[tex]\textbf{Given that,}\\\\~~~~x^2 +7x +10\\\\=x^2 +5x +2x +10~~~~~~~~~~~~~~~~~~~~;\textbf{Rewrite}~ 7x ~ \textbf{as}~ 5x +2x\\\\=x(x+5) +2(x+5)\\\\=(x+5)(x+2)~~~~~~~~~~~~~~~~~~~~~~~~~;\textbf{Take out the common factor}~ x+5[/tex]

Step-by-step explanation:

since we are using Pythagoras

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle),

you want to get the expression

y² = 3² + 3²

so, you pick the ² and put it next to the y left of the "=" sign.

and to the right of the "=" sign you put 3, ², +, 3, ²

Answer:

  n = 61

Step-by-step explanation:

The subscripted values of x and y in the formula refer to the coordinates of the points:

  [tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]

Substitute the given values and do the arithmetic.

__

Using these values in the formula gives ...

  [tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]

Distance

√n=√61

n=61

Answers:

Domain:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

Range:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]

That turns into the interval notation [tex](-\infty, \infty)[/tex]

The curved parenthesis are always used with either infinity because we cannot reach them.

--------------

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.

Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

Functions of independent variable in which the variable can appear more than once with different powers.

[tex]\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o[/tex]

Let this represents the polynomial function

where [tex]\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term[/tex]

Then the according to rational root theorem ,

The root of the function is given by

[tex]\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}[/tex]

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

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Answer:

90

Step-by-step explanation:

Add up all the numbers in the data set and divide that number by the amount of numbers in the data set

85 + 97 + 84 + 88 + 95 + 100 + 81 = 630

630/7 = 90

Answer: [tex]\frac{1}{2} \frac{2}{17} \frac{7}{12}[/tex]

Step-by-step explanation:

A quadratic equation is in the form of ax²+bx+c. The correct option is C, All the positive solutions.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the question is given below. Since a quadratic equation has only two solutions, and this two solutions can be found by observing the graph. The coordinate at which the graph of the equation intersect the x-axis are the solution of the equation.

As it can be observed in this graph, that the graph intersect the x-axis at (1,0) and (2,0).Therefore, the solutions of the graph are 1 and 2.

Thus, both the solutions are positive or it can be concluded that all the solutions are positive.

Hence, the correct option is C, All the positive solutions.

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Answer:

B. All solutions that lie on f(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

The simplified product of [tex]2\sqrt{5x^{3} }[/tex] and -3[tex]\sqrt{10x^{2} }[/tex] is -30[tex]x^{5/2} \sqrt{2}[/tex].

Given Two expressions: -3[tex]\sqrt{10x^{2} }[/tex] and 2[tex]\sqrt{5x^{3} }[/tex].

We have to multiply both the expressions and it can be done as under:

-3[tex]\sqrt{10x^{2} }[/tex] *2[tex]\sqrt{5x^{3} }[/tex]

Firstly we have to multiply -3 with 2 to get

=-6[tex]\sqrt{10x^{2} }\sqrt{5x^{3} }[/tex]

Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.

=[tex]-6x^{3/2} x\sqrt{10}\sqrt{5}[/tex]

Now we have to multiply both the numbers in the root to get the answer;

=-6[tex]x^{5/2} \sqrt{50}[/tex]

Square root of 50 is 5 root 2.

=-6*5[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex]

=-30[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex]

Hence the simplified product is -30[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex].

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Answer:

The answer is incorrect because the slope formula was used incorrectly in step 1 (parentheses weren't used during the substitution and/or the wrong values were substituted).

y=4x-6

Step-by-step explanation:

The equation we're looking for in slope intercept form looks like [tex]y=mx+b[/tex], where "m" is the slope, "b" is the y-coordinate of the y-intercept, and "x" and "y" are variables that have a certain mathematical relationship through this equation.

To find the equation itself, it usually is easier to find slope before finding the y-intercept.

There are many ways to represent slope (usually represented by the letter m), and while they all mean the same thing, they look different, some examples are shown below:

[tex]m=\frac{rise}{run} =\frac{\text{horizontal change}}{\text{vertical change}}=\frac{\Delta{y}}{\Delta{x}} =\frac{\text{change in }y}{\text{change in }x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

For this problem, since we are given ordered pairs, probably the most useful version will be the last one:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the values from the ordered pairs, it's important to remember that the ordered pairs are (x,y)... that the first coordinate is an x (and will go into the denominator, or bottom, of the fraction), and the second coordinate is a y (and will go into the numerator, or top of the fraction).

It actually doesn't matter which point we choose to be point 1, and which point we choose to be point 2.  For the least amount of confusion, I choose the first point they gave to be point 1, and the second point they gave to be point 2.

So, [tex]\text{Point 1: } (1,-2)[/tex], and [tex]\text{Point 2: } (3,6)[/tex]

If I could give only one piece of advice, it would be "ANY time you substitute, use parentheses."  You can always simplify later, but for the initial substitution, keep them (this is why the "mistake" happened in this problem, and is the thing we need to fix).

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{(6)-(-2)}{(3)-(1)}[/tex]

Simplifying...

[tex]m=\frac{(6)+(2)}{(3)-(1)}[/tex]

[tex]m=\frac{8}{2}[/tex]

[tex]m=4[/tex]

Thus, the equation we want in slope intercept form, with the new information we know plugged in, looks like this:

[tex]y=(4)x+b\\y=4x+b[/tex]

"b" is still the y-coordinate of the y-intercept (which we don't know yet), and "x" and "y" are variables related through this mathematical equation.

With "m" solved for, we can solve for the "b" by using the relationship in the equation we have so far.

We know that every "x" and "y" ordered pair is an "x" related to the "y" by this specific equation.  Even though we don't know the specific value of "b", we know that the equation must be true for every ordered pair on the line.

While we don't know many associated "y" values and "x" values (for instance, we don't know what the "y" value is when the x is 10, and we don't know what the x value is the "y" is 26), we do know two associations for sure... from the two ordered pairs

[tex]\text{Point 1: } (1,-2)[/tex], and [tex]\text{Point 2: } (3,6)[/tex], so

 [tex]x=1 \text{ is related to } y=-2[/tex], and [tex]x=3 \text{ is related to } y=6[/tex]

... and they're related through this equation that we've almost found!

Now, in our equation, there is only room to associate one x and y value at a time, so we need to pick one known association, and substitute those values in.  Since this equation is supposed to relate the x to the y, it should be true for both points (so, we can try both, and it should work out the same.  If you don't want to try both, if you see one ordered pair that has numbers that look easier, use that one):

Substituting Point 1 to find b

[tex]y=4x+b[/tex]

[tex](-2)=4(1)+b[/tex]

simplifying the right side, 4*1 is 4...

[tex](-2)=4+b[/tex]

subtracting 4 from both sides of the equation, and simplifying the left hand side

[tex]-2-4=b\\-2+-4=b\\-6=b[/tex]

Substituting Point 2 to find b (not necessary, but a good double-check)

[tex]y=4x+b[/tex]

[tex](6)=4(3)+b[/tex]

simplifying the right side, 4*3 is 12...

[tex]6=12+b[/tex]

subtracting 4 from both sides of the equation, and simplifying the left hand side

[tex]6=12+b\\6-12=b\\6+-12=b\\-6=b[/tex]

So, as a verification, we get the same value of b (which we should have, because this equation is supposed to work for every pair of (x,y) that has this relationship, and those were the only two points that we knew that did).

Substituting the value we found for b:

[tex]y=4x+(-6)[/tex]

...and simplifying...

[tex]y=4x-6[/tex]

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

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The steps that are used for creation of the graph of a polynomial function are listed below.

In Mathematics, the steps that are used for creation of the graph of a polynomial function are:

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